Q20 of 107 Page 104

Fill in the blanks to make the statements true.

Sum of two numbers is 81. One is twice the other.


(a) If smaller number is x, the other number is ________.


(b) The equation formed is ________.


(c) The solution of the equation is ________.


(d) The numbers are and ________.

(a) We are given that one number is twice the other.


If smaller number is x, then the other number is 2x.


(b) We are given that sum of two number is 81.so, the equation will be x + 2x = 81


(c) Now, solve the equation for x.


⇒ x + 2x = 81


⇒ 3x = 81


⇒


⇒ x = 27


Hence, the solution of the equation is 27.


(d) The two numbers are x = 27 and 2x = 2 × 27 = 54.


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 19

Fill in the blanks to make the statements true.

The sum of two numbers is 60 and their difference is 30.


(a) If smaller number is x, the other number is ________. (use sum)


(b) The difference of numbers in term of x is ________.


(c) The equation formed is ________.


(d) The solution of the equation is ______.


(e) The numbers are and ________.

 21

Fill in the blanks to make the statements true.

In a test Abha gets twice the marks as that of Palak. Two times Abha's marks and three times Palak's marks make 280.


(a) If Palak gets x marks, Abha gets ________marks.


(b) The equation formed is ________.


(c) The solution of the equation is ______.


(d) Marks obtained by Abha are ________.

 22

Fill in the blanks to make the statements true.

The length of a rectangle is two times its breadth. Its perimeter is 60 cm.


(a) If the breadth of rectangle is x cm, the length of the rectangle is ________.


(b) Perimeter in terms of x is ________.


(c) The equation formed is ________.


(d) The solution of the equation is ________.